If anything can end a competitive feud, however,it's a $26 billion merger agreement.

The deal would leave just three major wireless carriers in the United States, positioning the combined company as a stronger rival to Verizon and AT&T.

Legere would become the head of the combined company, still named T-Mobile, if the deal passes regulatory scrutiny. The 59-year-old took over at T-Mobile in 2012. He's known for flashy marketing campaigns and a constant social media presence. While no stranger to controversy, the company has thrived under his leadership.

Claure, 49, previously co-founded the mobile distribution company Brightstar. He would serve on the merged T-Mobile's board.